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KFA expects to pay the following dividends over the next 4 years: $3.00, $4.00, $5.00, and...

KFA expects to pay the following dividends over the next 4 years: $3.00, $4.00, $5.00, and $6.00. After that, it expects to pay dividends that grow at 4%/year. If the required equity return is 15%, what should be today's share price?

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Expert Solution

Current market price today is present value of stock that is equal to present value of dividend received up to 4 Years and Price of stock received at end of 4 Year

Growth rate (g)= 4%
Required rate of return = 15%

Dividned for year 5(D5) = D4*(1+g)

6*(1+4%)= 6.24

Price of stock received at end of year 4 (P4) = Dividend for year 5/(ke-g)

6.24/(15%-4%)= 56.72727273

Calculation of P0 or current market price

Year Cash flows P.V.F.@ 15%

Cash flows * PVF

1 (D1) 3 0.8695652174 2.608695652
2 (D2) 4 0.7561436673 3.024574669
3 (D3) 5 0.6575162324 3.287581162
4 (D4) 6 0.5717532456 3.430519474
4 (P4) 56.72727273 0.5717532456 32.4340023

----------------------

Current value 44.78537325
----------------------

So, Current price of stock is $44.79

Note : PVF formula = 1/(1+i)^n

For 1 year, 1/(1+0.15)^1 =

0.8695652174

For 2 year, 1/(1+0.15)^2 =

0.7561436673

For 3 year, 1/(1+0.15)^3=

0.6575162324

For 4 year, 1/(1+0.15)^4=

0.5717532456

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